2345320020960 has 2016 divisors, whose sum is σ = 10250648210880. Its totient is φ = 496306372608.

The previous prime is 2345320020937. The next prime is 2345320021021. The reversal of 2345320020960 is 690200235432.

It is a happy number.

2345320020960 is a `hidden beast` number, since 2 + 34 + 532 + 0 + 0 + 2 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 21516697386 + ... + 21516697494.

It is an arithmetic number, because the mean of its divisors is an integer number (5084646930).

Almost surely, 2^{2345320020960} is an apocalyptic number.

2345320020960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2345320020960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5125324105440).

2345320020960 is an abundant number, since it is smaller than the sum of its proper divisors (7905328189920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2345320020960 is a wasteful number, since it uses less digits than its factorization.

2345320020960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 2345320020960 in words is "two trillion, three hundred forty-five billion, three hundred twenty million, twenty thousand, nine hundred sixty".